Fermat's theorem on the sum of two twentieth powers
GPTKB entity
Statements (53)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
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| gptkbp:bfsLayer |
5
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| gptkbp:bfsParent |
gptkb:Fermat
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| gptkbp:applies_to |
twentieth powers
|
| gptkbp:challenges |
to prove
for mathematicians |
| gptkbp:has_programs |
gptkb:currency
|
| gptkbp:historical_debate |
gptkb:Andrew_Wiles
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| https://www.w3.org/2000/01/rdf-schema#label |
Fermat's theorem on the sum of two twentieth powers
|
| gptkbp:is_a |
Diophantine equation
theorem in algebra theorem in number theory theorem about powers special case of Fermat's Last Theorem theorem in modern mathematics theorem in number theory history |
| gptkbp:is_analyzed_in |
theoretical mathematics
number theory research |
| gptkbp:is_cited_in |
mathematical journals
mathematical proofs mathematical textbooks |
| gptkbp:is_connected_to |
modular forms
|
| gptkbp:is_considered |
mathematical analysis
a significant result a landmark result |
| gptkbp:is_discussed_in |
gptkb:Mathematician
mathematical conferences mathematical literature mathematical historians |
| gptkbp:is_explored_in |
advanced mathematics courses
academic papers arithmetic geometry historical mathematics studies |
| gptkbp:is_part_of |
gptkb:Fermat's_legacy
gptkb:Fermat's_Last_Theorem Fermat's conjectures Fermat's work |
| gptkbp:is_related_to |
gptkb:Fermat's_Last_Theorem_for_n=4
number theory integer solutions Fermat's Last Theorem for n=5 Fermat's Last Theorem for n=20 Fermat's Last Theorem for n=3 Fermat's Last Theorem for n>2 |
| gptkbp:is_standardized_by |
gptkb:Fermat's_Last_Theorem
|
| gptkbp:is_studied_in |
algebraic geometry
graduate mathematics programs research mathematics |
| gptkbp:notable_for |
its historical significance
its implications in mathematics its proof by Wiles |
| gptkbp:proposed_by |
gptkb:Pierre_de_Fermat
|
| gptkbp:state |
There are no three positive integers a, b, and c that satisfy the equation a^20 + b^20 = c^20.
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